475276800 has 120 divisors (see below), whose sum is σ = 1570174056. Its totient is φ = 126730240.

The previous prime is 475276741. The next prime is 475276883. The reversal of 475276800 is 8672574.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32212 + ... + 44588.

Almost surely, 2^475276800 is an apocalyptic number.

475276800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475276800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (785087028).

475276800 is an abundant number, since it is smaller than the sum of its proper divisors (1094897256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

475276800 is a wasteful number, since it uses less digits than its factorization.

475276800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12408 (or 12387 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 475276800 is about 21800.8440203585. The cubic root of 475276800 is about 780.3969051658.

The spelling of 475276800 in words is "four hundred seventy-five million, two hundred seventy-six thousand, eight hundred".